I suppose it depends on who you ask whether S. rosea is a separate species or not. Considering that CPPhotofinder lists it primarily as S. purpurea ssp. venosa var. burkii I will assume that any pictures of this cross are included on the S. x swaniana page. They certainly don't have a separate page for S. rosea x minor (or vice versa.)
It will probably turn out tubbier, and the petals a lighter color. Otherwise, physically rosea and purpurea aren't too different and the hybrids will be similar, if perhaps bulkier in several means; rosea is a cryptic species separated by genetic differences.